I roll my NFSC a bit thicker 3/8 to 1/2 inch. I push the sticks in from the bottom before cooking; carefully turn over to check back, press just a bit of dough on to cover if needed. I use either Anton74 icing or Marshmallow fondant- I like both. The Ant74 works well to detail the fondant, tho I have had smooshed polka dots- that may be because I don't leave enough dry time, or could be because the icing is not rock hard like regular RI. I usually cut MMF, keep under plastic, then spread cookie with cornsyrup after cool to attach. I have never tried doing it while hot.
I have used lemon flavoring in the dough and in the icing, I have also tried almond. Everyone except my son loves the lemon.
There is a wonderful cinnamon spice cookie recipe on www.karenscookies.net
. That is actually my fam's fav. ADD: She also has a few great videos on doing cookies on sticks, and shows different icing techniques to acheive the same design.
Good luck, and have fun!